B. Hunter and Z. Guo, “Conservation of asymmetry factor in phase function normalization for radiative transfer analysis in anisotropic scattering media,” Int. J. Heat Mass Transfer 55, 1544–1552 (2012).

[CrossRef]

B. Hunter and Z. Guo, “Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization,” Int. J. Heat Mass Transfer 55, 2449–2460 (2012).

[CrossRef]

B. Hunter and Z. Guo, “Comparison of discrete-ordinates method and finite volume method for steady-state and ultrafast radiative transfer analysis in cylindrical coordinates,” Num. Heat Transfer B 59, 339–359 (2011).

[CrossRef]

J. Jiao and Z. Guo, “Modeling of ultrashort pulsed laser ablation in water and biological tissues in cylindrical coordinates,” Appl. Phys. B 103, 195–205 (2011).

[CrossRef]

M. Akamatsu and Z. Guo, “Ultrafast radiative heat transfer in three-dimensional highly-scattering media subjected to pulse train irradiation,” Num. Heat Transfer A 59, 653–671 (2011).

[CrossRef]

M. Jaunich, S. Raje, K. H. Kim, K. Mitra, and Z. Guo, “Bio-heat transfer analysis during short pulse laser irradiation of tissues,” Int. J. Heat Mass Transfer 51, 5511–5521 (2008).

[CrossRef]

K. H. Kim and Z. Guo, “Multi-time-scale heat transfer modeling of turbid tissues exposed to short-pulsed irradiations,” Comput. Meth. Prog. Bio. 86, 112–123 (2007).

[CrossRef]

P. Boulet, A. Collin, and J. L. Consalvi, “On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media,” J. Quant. Spectrosc. Radiat. Transfer 104, 460–473 (2007).

[CrossRef]

Z. Guo and S. Kumar, “Three-dimensional discrete ordinates method in transient radiative transfer,” J. Thermophys. Heat Transfer 16, 289–296 (2002).

[CrossRef]

Y. Yamada, “Light-tissue interaction and optical imaging in biomedicine,” Annu. Rev. Heat Transfer 6, 1–59 (1995).

J. C. Chai, H. S. Lee, and S. V. Patankar, “Finite volume method for radiation heat transfer,” J. Thermophys. Heat Transfer 8, 419–425 (1994).

[CrossRef]

P-F. Hsu, Z. Tan, and J. P. Howell, “Radiative transfer by the YIX method in non-homogeneous, scattering and non-gray medium,” J. Thermophys. Heat Transfer 7, 487–495 (1993).

[CrossRef]

S. Jendoubi, H. S. Lee, and T. K. Kim, “Discrete ordinates solutions for radiatively participating media in a cylindrical enclosure,” J. Thermophys. Heat Transfer 7, 213–219 (1993).

[CrossRef]

W. F. Cheong, S. A. Prahl, and A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron 26, 2166–2185 (1990).

[CrossRef]

T. K. Kim and H. Lee, “Scaled isotropic results for two-dimensional anisotropic scattering media,” J. Heat Transfer 112, 721–727 (1990).

[CrossRef]

T. K. Kim and H. Lee, “Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures,” Int. J. Heat Mass Transfer 31, 1711–1721 (1988).

[CrossRef]

H. Lee and R. O. Buckius, “Scaling anisotropic scattering in radiation heat transfer for a planar medium,” J. Heat Transfer 104, 68–75 (1982).

[CrossRef]

W. J. Wiscombe, “On initialization, error and flux conservation in the doubling method,” J. Quant. Spectrosc. Radiat. Transfer 16, 637–658 (1976).

[CrossRef]

M. Akamatsu and Z. Guo, “Ultrafast radiative heat transfer in three-dimensional highly-scattering media subjected to pulse train irradiation,” Num. Heat Transfer A 59, 653–671 (2011).

[CrossRef]

P. Boulet, A. Collin, and J. L. Consalvi, “On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media,” J. Quant. Spectrosc. Radiat. Transfer 104, 460–473 (2007).

[CrossRef]

H. Lee and R. O. Buckius, “Scaling anisotropic scattering in radiation heat transfer for a planar medium,” J. Heat Transfer 104, 68–75 (1982).

[CrossRef]

B. G. Carlson and K. D. Lathrop, “Transport theory—the method of discrete-ordinates,” in Computing Methods in Reactor Physics, H. Greenspan, C. N. Kelber, and D. Okrent, eds. (Gorden and Breach, 1968).

J. C. Chai, H. S. Lee, and S. V. Patankar, “Finite volume method for radiation heat transfer,” J. Thermophys. Heat Transfer 8, 419–425 (1994).

[CrossRef]

W. F. Cheong, S. A. Prahl, and A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron 26, 2166–2185 (1990).

[CrossRef]

P. Boulet, A. Collin, and J. L. Consalvi, “On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media,” J. Quant. Spectrosc. Radiat. Transfer 104, 460–473 (2007).

[CrossRef]

P. Boulet, A. Collin, and J. L. Consalvi, “On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media,” J. Quant. Spectrosc. Radiat. Transfer 104, 460–473 (2007).

[CrossRef]

B. Hunter and Z. Guo, “Conservation of asymmetry factor in phase function normalization for radiative transfer analysis in anisotropic scattering media,” Int. J. Heat Mass Transfer 55, 1544–1552 (2012).

[CrossRef]

B. Hunter and Z. Guo, “Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization,” Int. J. Heat Mass Transfer 55, 2449–2460 (2012).

[CrossRef]

M. Akamatsu and Z. Guo, “Ultrafast radiative heat transfer in three-dimensional highly-scattering media subjected to pulse train irradiation,” Num. Heat Transfer A 59, 653–671 (2011).

[CrossRef]

J. Jiao and Z. Guo, “Modeling of ultrashort pulsed laser ablation in water and biological tissues in cylindrical coordinates,” Appl. Phys. B 103, 195–205 (2011).

[CrossRef]

B. Hunter and Z. Guo, “Comparison of discrete-ordinates method and finite volume method for steady-state and ultrafast radiative transfer analysis in cylindrical coordinates,” Num. Heat Transfer B 59, 339–359 (2011).

[CrossRef]

M. Jaunich, S. Raje, K. H. Kim, K. Mitra, and Z. Guo, “Bio-heat transfer analysis during short pulse laser irradiation of tissues,” Int. J. Heat Mass Transfer 51, 5511–5521 (2008).

[CrossRef]

K. H. Kim and Z. Guo, “Multi-time-scale heat transfer modeling of turbid tissues exposed to short-pulsed irradiations,” Comput. Meth. Prog. Bio. 86, 112–123 (2007).

[CrossRef]

K. H. Kim and Z. Guo, “Ultrafast radiation heat transfer in laser tissue welding and soldering,” Num. Heat Transfer A 46, 23–40 (2004).

[CrossRef]

H. Quan and Z. Guo, “Fast 3-D optical imaging with transient fluorescence signals,” Opt. Express 12, 449–457 (2004).

[CrossRef]

Z. Guo and S. Kumar, “Three-dimensional discrete ordinates method in transient radiative transfer,” J. Thermophys. Heat Transfer 16, 289–296 (2002).

[CrossRef]

Z. Guo and S. Kumar, “Radiation element method for transient hyperbolic radiative transfer in plane parallel inhomogeneous media,” Numer. Heat Transfer B 39, 371–387 (2001).

Z. Guo and S. Kumar, “Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media,” Appl. Opt. 40, 3156–3163 (2001).

[CrossRef]

Z. Guo and S. Kumar, “Equivalent isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media,” Appl. Opt. 39, 4411–4417 (2000).

[CrossRef]

P-F. Hsu, Z. Tan, and J. P. Howell, “Radiative transfer by the YIX method in non-homogeneous, scattering and non-gray medium,” J. Thermophys. Heat Transfer 7, 487–495 (1993).

[CrossRef]

P-F. Hsu, Z. Tan, and J. P. Howell, “Radiative transfer by the YIX method in non-homogeneous, scattering and non-gray medium,” J. Thermophys. Heat Transfer 7, 487–495 (1993).

[CrossRef]

B. Hunter and Z. Guo, “Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization,” Int. J. Heat Mass Transfer 55, 2449–2460 (2012).

[CrossRef]

B. Hunter and Z. Guo, “Conservation of asymmetry factor in phase function normalization for radiative transfer analysis in anisotropic scattering media,” Int. J. Heat Mass Transfer 55, 1544–1552 (2012).

[CrossRef]

B. Hunter and Z. Guo, “Comparison of discrete-ordinates method and finite volume method for steady-state and ultrafast radiative transfer analysis in cylindrical coordinates,” Num. Heat Transfer B 59, 339–359 (2011).

[CrossRef]

M. Jaunich, S. Raje, K. H. Kim, K. Mitra, and Z. Guo, “Bio-heat transfer analysis during short pulse laser irradiation of tissues,” Int. J. Heat Mass Transfer 51, 5511–5521 (2008).

[CrossRef]

S. Jendoubi, H. S. Lee, and T. K. Kim, “Discrete ordinates solutions for radiatively participating media in a cylindrical enclosure,” J. Thermophys. Heat Transfer 7, 213–219 (1993).

[CrossRef]

J. Jiao and Z. Guo, “Modeling of ultrashort pulsed laser ablation in water and biological tissues in cylindrical coordinates,” Appl. Phys. B 103, 195–205 (2011).

[CrossRef]

M. Jaunich, S. Raje, K. H. Kim, K. Mitra, and Z. Guo, “Bio-heat transfer analysis during short pulse laser irradiation of tissues,” Int. J. Heat Mass Transfer 51, 5511–5521 (2008).

[CrossRef]

K. H. Kim and Z. Guo, “Multi-time-scale heat transfer modeling of turbid tissues exposed to short-pulsed irradiations,” Comput. Meth. Prog. Bio. 86, 112–123 (2007).

[CrossRef]

K. H. Kim and Z. Guo, “Ultrafast radiation heat transfer in laser tissue welding and soldering,” Num. Heat Transfer A 46, 23–40 (2004).

[CrossRef]

S. Jendoubi, H. S. Lee, and T. K. Kim, “Discrete ordinates solutions for radiatively participating media in a cylindrical enclosure,” J. Thermophys. Heat Transfer 7, 213–219 (1993).

[CrossRef]

T. K. Kim and H. Lee, “Scaled isotropic results for two-dimensional anisotropic scattering media,” J. Heat Transfer 112, 721–727 (1990).

[CrossRef]

T. K. Kim and H. Lee, “Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures,” Int. J. Heat Mass Transfer 31, 1711–1721 (1988).

[CrossRef]

Z. Guo and S. Kumar, “Three-dimensional discrete ordinates method in transient radiative transfer,” J. Thermophys. Heat Transfer 16, 289–296 (2002).

[CrossRef]

Z. Guo and S. Kumar, “Radiation element method for transient hyperbolic radiative transfer in plane parallel inhomogeneous media,” Numer. Heat Transfer B 39, 371–387 (2001).

Z. Guo and S. Kumar, “Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media,” Appl. Opt. 40, 3156–3163 (2001).

[CrossRef]

Z. Guo and S. Kumar, “Equivalent isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media,” Appl. Opt. 39, 4411–4417 (2000).

[CrossRef]

K. Mitra and S. Kumar, “Development and comparison of models for light-pulse transport through scattering-absorbing media,” Appl. Opt. 38, 188–196 (1999).

[CrossRef]

B. G. Carlson and K. D. Lathrop, “Transport theory—the method of discrete-ordinates,” in Computing Methods in Reactor Physics, H. Greenspan, C. N. Kelber, and D. Okrent, eds. (Gorden and Breach, 1968).

T. K. Kim and H. Lee, “Scaled isotropic results for two-dimensional anisotropic scattering media,” J. Heat Transfer 112, 721–727 (1990).

[CrossRef]

T. K. Kim and H. Lee, “Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures,” Int. J. Heat Mass Transfer 31, 1711–1721 (1988).

[CrossRef]

H. Lee and R. O. Buckius, “Scaling anisotropic scattering in radiation heat transfer for a planar medium,” J. Heat Transfer 104, 68–75 (1982).

[CrossRef]

J. C. Chai, H. S. Lee, and S. V. Patankar, “Finite volume method for radiation heat transfer,” J. Thermophys. Heat Transfer 8, 419–425 (1994).

[CrossRef]

S. Jendoubi, H. S. Lee, and T. K. Kim, “Discrete ordinates solutions for radiatively participating media in a cylindrical enclosure,” J. Thermophys. Heat Transfer 7, 213–219 (1993).

[CrossRef]

P. Rath and S. K. Mahapatra, School of Mechanical Sciences, Indian Institute of Technology, Bhubaneswar, Bhubaneswar, Odisha—751 013, India (personal communication, 2011).

M. Jaunich, S. Raje, K. H. Kim, K. Mitra, and Z. Guo, “Bio-heat transfer analysis during short pulse laser irradiation of tissues,” Int. J. Heat Mass Transfer 51, 5511–5521 (2008).

[CrossRef]

K. Mitra and S. Kumar, “Development and comparison of models for light-pulse transport through scattering-absorbing media,” Appl. Opt. 38, 188–196 (1999).

[CrossRef]

M. F. Modest, Radiative Heat Transfer2nd ed. (Academic, 2003).

J. C. Chai, H. S. Lee, and S. V. Patankar, “Finite volume method for radiation heat transfer,” J. Thermophys. Heat Transfer 8, 419–425 (1994).

[CrossRef]

W. F. Cheong, S. A. Prahl, and A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron 26, 2166–2185 (1990).

[CrossRef]

M. Jaunich, S. Raje, K. H. Kim, K. Mitra, and Z. Guo, “Bio-heat transfer analysis during short pulse laser irradiation of tissues,” Int. J. Heat Mass Transfer 51, 5511–5521 (2008).

[CrossRef]

P. Rath and S. K. Mahapatra, School of Mechanical Sciences, Indian Institute of Technology, Bhubaneswar, Bhubaneswar, Odisha—751 013, India (personal communication, 2011).

P-F. Hsu, Z. Tan, and J. P. Howell, “Radiative transfer by the YIX method in non-homogeneous, scattering and non-gray medium,” J. Thermophys. Heat Transfer 7, 487–495 (1993).

[CrossRef]

W. F. Cheong, S. A. Prahl, and A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron 26, 2166–2185 (1990).

[CrossRef]

W. J. Wiscombe, “On initialization, error and flux conservation in the doubling method,” J. Quant. Spectrosc. Radiat. Transfer 16, 637–658 (1976).

[CrossRef]

Y. Yamada, “Light-tissue interaction and optical imaging in biomedicine,” Annu. Rev. Heat Transfer 6, 1–59 (1995).

Y. Yamada, “Light-tissue interaction and optical imaging in biomedicine,” Annu. Rev. Heat Transfer 6, 1–59 (1995).

S. L. Jacques, “Time resolved propagation of ultrashort laser pulses within turbid tissues,” Appl. Opt. 28, 2223–2229 (1989).

[CrossRef]

K. Mitra and S. Kumar, “Development and comparison of models for light-pulse transport through scattering-absorbing media,” Appl. Opt. 38, 188–196 (1999).

[CrossRef]

Z. Guo and S. Kumar, “Equivalent isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media,” Appl. Opt. 39, 4411–4417 (2000).

[CrossRef]

Z. Guo and S. Kumar, “Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media,” Appl. Opt. 40, 3156–3163 (2001).

[CrossRef]

J. Jiao and Z. Guo, “Modeling of ultrashort pulsed laser ablation in water and biological tissues in cylindrical coordinates,” Appl. Phys. B 103, 195–205 (2011).

[CrossRef]

K. H. Kim and Z. Guo, “Multi-time-scale heat transfer modeling of turbid tissues exposed to short-pulsed irradiations,” Comput. Meth. Prog. Bio. 86, 112–123 (2007).

[CrossRef]

W. F. Cheong, S. A. Prahl, and A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron 26, 2166–2185 (1990).

[CrossRef]

M. Jaunich, S. Raje, K. H. Kim, K. Mitra, and Z. Guo, “Bio-heat transfer analysis during short pulse laser irradiation of tissues,” Int. J. Heat Mass Transfer 51, 5511–5521 (2008).

[CrossRef]

T. K. Kim and H. Lee, “Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures,” Int. J. Heat Mass Transfer 31, 1711–1721 (1988).

[CrossRef]

B. Hunter and Z. Guo, “Conservation of asymmetry factor in phase function normalization for radiative transfer analysis in anisotropic scattering media,” Int. J. Heat Mass Transfer 55, 1544–1552 (2012).

[CrossRef]

B. Hunter and Z. Guo, “Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization,” Int. J. Heat Mass Transfer 55, 2449–2460 (2012).

[CrossRef]

T. K. Kim and H. Lee, “Scaled isotropic results for two-dimensional anisotropic scattering media,” J. Heat Transfer 112, 721–727 (1990).

[CrossRef]

H. Lee and R. O. Buckius, “Scaling anisotropic scattering in radiation heat transfer for a planar medium,” J. Heat Transfer 104, 68–75 (1982).

[CrossRef]

W. J. Wiscombe, “On initialization, error and flux conservation in the doubling method,” J. Quant. Spectrosc. Radiat. Transfer 16, 637–658 (1976).

[CrossRef]

P. Boulet, A. Collin, and J. L. Consalvi, “On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media,” J. Quant. Spectrosc. Radiat. Transfer 104, 460–473 (2007).

[CrossRef]

J. C. Chai, H. S. Lee, and S. V. Patankar, “Finite volume method for radiation heat transfer,” J. Thermophys. Heat Transfer 8, 419–425 (1994).

[CrossRef]

P-F. Hsu, Z. Tan, and J. P. Howell, “Radiative transfer by the YIX method in non-homogeneous, scattering and non-gray medium,” J. Thermophys. Heat Transfer 7, 487–495 (1993).

[CrossRef]

S. Jendoubi, H. S. Lee, and T. K. Kim, “Discrete ordinates solutions for radiatively participating media in a cylindrical enclosure,” J. Thermophys. Heat Transfer 7, 213–219 (1993).

[CrossRef]

Z. Guo and S. Kumar, “Three-dimensional discrete ordinates method in transient radiative transfer,” J. Thermophys. Heat Transfer 16, 289–296 (2002).

[CrossRef]

K. H. Kim and Z. Guo, “Ultrafast radiation heat transfer in laser tissue welding and soldering,” Num. Heat Transfer A 46, 23–40 (2004).

[CrossRef]

M. Akamatsu and Z. Guo, “Ultrafast radiative heat transfer in three-dimensional highly-scattering media subjected to pulse train irradiation,” Num. Heat Transfer A 59, 653–671 (2011).

[CrossRef]

B. Hunter and Z. Guo, “Comparison of discrete-ordinates method and finite volume method for steady-state and ultrafast radiative transfer analysis in cylindrical coordinates,” Num. Heat Transfer B 59, 339–359 (2011).

[CrossRef]

Z. Guo and S. Kumar, “Radiation element method for transient hyperbolic radiative transfer in plane parallel inhomogeneous media,” Numer. Heat Transfer B 39, 371–387 (2001).

B. G. Carlson and K. D. Lathrop, “Transport theory—the method of discrete-ordinates,” in Computing Methods in Reactor Physics, H. Greenspan, C. N. Kelber, and D. Okrent, eds. (Gorden and Breach, 1968).

P. Rath and S. K. Mahapatra, School of Mechanical Sciences, Indian Institute of Technology, Bhubaneswar, Bhubaneswar, Odisha—751 013, India (personal communication, 2011).

M. F. Modest, Radiative Heat Transfer2nd ed. (Academic, 2003).